Solve 3x^4=2x^(2)-7

Evaluate

3 x^{4} = 2 x^{2} - 7

Move the expression to the left side

3 x^{4} - (2 x^{2} - 7) = 0

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

3 x^{4} - 2 x^{2} + 7 = 0

Solve the equation using substitution t = x^{2}

3 t^{2} - 2 t + 7 = 0

Substitute a= 3,b= - 2 and c= 7 into the quadratic formula t = \frac{- b \pm b ^{2} - 4 a c}{2 a}

t = \frac{2 \pm ( - 2 ) ^{2} - 4 \times 3 \times 7}{2 \times 3}

Simplify the expression

t = \frac{2 \pm ( - 2 ) ^{2} - 4 \times 3 \times 7}{6}

Simplify the expression

More Steps

t = \frac{2 \pm - 80}{6}

The expression is undefined in the set of real numbers

t \in / R

Solution

x \in / R

Alternative Form

No real solution

Solve the equation

Graph